Class 5Decimal Operations Worksheet

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Fill in the blanks

(1) - 596.65 = 27.71

(2) - 65.11 = 99.28

(3) - 42.29 = 66.81

(4) 354.44 - 283.7 =

(5) - 320.05 = 58.4

(6) 932.53 - 913.53 =

(7) 363.2 - 328.85 =

(8) 993.07 - 958.06 =

(9) 731.45 - 716.95 =

(10) - 161.61 = 84.14

(11) + 42.82 + 0.36 = 956.42

(12) 544.58 + 28.32 + = 573.42

(13) 946.66 + 69.63 + = 1017.1

(14) 538.47 + 10.53 + = 549.31

(15) 119.1 + + 0.65 = 161.03

(16) + 29.95 + 0.38 = 799.66

(17) + 1.76 + 0.3 = 284.37

(18) + 7.28 + 0.29 = 260.14

ID : in-5-Decimal-Operations-Worksheet [1]

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(19) 537.28 + 49.17 + 0.32 =

(20) 786.24 + 71.34 + = 858.12

(21) Solve the f ollowing:

A)343.65 - 308.15 =

B)616.2 - = 52.77

C)219.34 ÷ 100 =

D)106.97 - = 81.32

E) + 81.93 = 213.36

F)118.82 + = 145.36

G) - 490.62 = 56.84

H)143.17 + = 240.51

I)389.49 - 338.75 =

J)122.82 ÷ 122.82 =

(22) 2.42 x = 19.602

(23) 6.25 x = 51.250

(24) 2.90 x = 24.070

(25) 1.26 x = 12.600

(26) x 3.2 = 4.608

(27) 6.01 x 7.8 =

(28) 8.43 x 9.7 =

(29) x 6.1 = 49.959

(30) 2.09 x 1.6 =

(31) 1.15 x 1.8 =

(32) 152.4 ÷ = 2.4

(33) 233.05 ÷ = 5.9

(34) ÷ 64.1 = 1.2

(35) ÷ 30.9 = 1.3

ID : in-5-Decimal-Operations-Worksheet [2]

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(36) 101.6 ÷ = 1.6

(37) ÷ 11.3 = 5

(38) ÷ 52.8 = 3.9

(39) 100.44 ÷ = 2.7

(40) 142.8 ÷ 40.8 =

(41) 89.25 ÷ 25.5 =

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ID : in-5-Decimal-Operations-Worksheet [3]

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Answers

(1) 624.36

Step 1

Decimals with the same number of decimal places are called Like Decimals. The numbersgiven here are theref ore Like Decimals.

Step 2

We need to subtract 596.65 f rom 624.36. Theref ore, 624.36 must be placed on top and596.65 below. The digits of the two numbers must be placed according to their place values.

Step 3

Let us now do the subtraction of the two numbers digit by digit, starting f rom thehundredths and borrowing if needed:

Thousands Hundreds Tens Ones . Tenth Hundredth

6 2 4 . 3 6

- 5 9 6 . 6 5

0 2 7 . 7 1

Step 4

Hence, when we subtract 596.65 f rom 624.36, we get 27.71.

(2) 164.39

Step 1

Decimals with the same number of decimal places are called Like Decimals. The numbersgiven here are theref ore Like Decimals.

Step 2

We need to subtract 65.11 f rom 164.39. Theref ore, 164.39 must be placed on top and 65.11below. The digits of the two numbers must be placed according to their place values.

Step 3

Let us now do the subtraction of the two numbers digit by digit, starting f rom thehundredths and borrowing if needed:

Thousands Hundreds Tens Ones . Tenth Hundredth

1 6 4 . 3 9

- 6 5 . 1 1

0 9 9 . 2 8

Step 4

Hence, when we subtract 65.11 f rom 164.39, we get 99.28.

ID : in-5-Decimal-Operations-Worksheet [4]

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(3) 109.1

Step 1

Decimals with the same number of decimal places are called Like Decimals. The numbersgiven here are theref ore Like Decimals.

Step 2

We need to subtract 42.29 f rom 109.1. Theref ore, 109.1 must be placed on top and 42.29below. The digits of the two numbers must be placed according to their place values.

Step 3

Let us now do the subtraction of the two numbers digit by digit, starting f rom thehundredths and borrowing if needed:

Thousands Hundreds Tens Ones . Tenth Hundredth

1 0 9 . 1 0

- 4 2 . 2 9

0 6 6 . 8 1

Step 4

Hence, when we subtract 42.29 f rom 109.1, we get 66.81.

(4) 70.74

Step 1

Decimals with the same number of decimal places are called Like Decimals. The numbersgiven here are theref ore Like Decimals.

Step 2

We need to subtract 283.7 f rom 354.44. Theref ore, 354.44 must be placed on top and283.7 below. The digits of the two numbers must be placed according to their place values.

Step 3

Let us now do the subtraction of the two numbers digit by digit, starting f rom thehundredths and borrowing if needed:

Thousands Hundreds Tens Ones . Tenth Hundredth

3 5 4 . 4 4

- 2 8 3 . 7 0

0 7 0 . 7 4

Step 4

Hence, when we subtract 283.7 f rom 354.44, we get 70.74 .

ID : in-5-Decimal-Operations-Worksheet [5]

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(5) 378.45

Step 1

Decimals with the same number of decimal places are called Like Decimals. The numbersgiven here are theref ore Like Decimals.

Step 2

We need to subtract 320.05 f rom 378.45. Theref ore, 378.45 must be placed on top and320.05 below. The digits of the two numbers must be placed according to their place values.

Step 3

Let us now do the subtraction of the two numbers digit by digit, starting f rom thehundredths and borrowing if needed:

Thousands Hundreds Tens Ones . Tenth Hundredth

3 7 8 . 4 5

- 3 2 0 . 0 5

0 5 8 . 4 0

Step 4

Hence, when we subtract 320.05 f rom 378.45, we get 58.4 .

(6) 19

Step 1

Decimals with the same number of decimal places are called Like Decimals. The numbersgiven here are theref ore Like Decimals.

Step 2

We need to subtract 913.53 f rom 932.53. Theref ore, 932.53 must be placed on top and913.53 below. The digits of the two numbers must be placed according to their place values.

Step 3

Let us now do the subtraction of the two numbers digit by digit, starting f rom thehundredths and borrowing if needed:

Thousands Hundreds Tens Ones . Tenth Hundredth

9 3 2 . 5 3

- 9 1 3 . 5 3

0 1 9 . 0 0

Step 4

Hence, when we subtract 913.53 f rom 932.53, we get 19 .

ID : in-5-Decimal-Operations-Worksheet [6]

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(7) 34.35

Step 1

Decimals with the same number of decimal places are called Like Decimals. The numbersgiven here are theref ore Like Decimals.

Step 2

We need to subtract 328.85 f rom 363.2. Theref ore, 363.2 must be placed on top and 328.85below. The digits of the two numbers must be placed according to their place values.

Step 3

Let us now do the subtraction of the two numbers digit by digit, starting f rom thehundredths and borrowing if needed:

Thousands Hundreds Tens Ones . Tenth Hundredth

3 6 3 . 2 0

- 3 2 8 . 8 5

0 3 4 . 3 5

Step 4

Hence, when we subtract 328.85 f rom 363.2, we get 34.35.

(8) 35.01

Step 1

Decimals with the same number of decimal places are called Like Decimals. The numbersgiven here are theref ore Like Decimals.

Step 2

We need to subtract 958.06 f rom 993.07. Theref ore, 993.07 must be placed on top and958.06 below. The digits of the two numbers must be placed according to their place values.

Step 3

Let us now do the subtraction of the two numbers digit by digit, starting f rom thehundredths and borrowing if needed:

Thousands Hundreds Tens Ones . Tenth Hundredth

9 9 3 . 0 7

- 9 5 8 . 0 6

0 3 5 . 0 1

Step 4

Hence, when we subtract 958.06 f rom 993.07, we get 35.01.

ID : in-5-Decimal-Operations-Worksheet [7]

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(9) 14.5

Step 1

Decimals with the same number of decimal places are called Like Decimals. The numbersgiven here are theref ore Like Decimals.

Step 2

We need to subtract 716.95 f rom 731.45. Theref ore, 731.45 must be placed on top and716.95 below. The digits of the two numbers must be placed according to their place values.

Step 3

Let us now do the subtraction of the two numbers digit by digit, starting f rom thehundredths and borrowing if needed:

Thousands Hundreds Tens Ones . Tenth Hundredth

7 3 1 . 4 5

- 7 1 6 . 9 5

0 1 4 . 5 0

Step 4

Hence, when we subtract 716.95 f rom 731.45, we get 14.5.

(10) 245.75

Step 1

Decimals with the same number of decimal places are called Like Decimals. The numbersgiven here are theref ore Like Decimals.

Step 2

We need to subtract 161.61 f rom 245.75. Theref ore, 245.75 must be placed on top and161.61 below. The digits of the two numbers must be placed according to their place values.

Step 3

Let us now do the subtraction of the two numbers digit by digit, starting f rom thehundredths and borrowing if needed:

Thousands Hundreds Tens Ones . Tenth Hundredth

2 4 5 . 7 5

- 1 6 1 . 6 1

0 8 4 . 1 4

Step 4

Hence, when we subtract 161.61 f rom 245.75, we get 84.14 .

ID : in-5-Decimal-Operations-Worksheet [8]

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(11) 913.24

Step 1

Decimals with the same number of decimal places are called Like Decimals. The numbersgiven here are theref ore Like Decimals.

Step 2

In order to add the given Like Decimals, let us arrange the digits according to their placevalue, that is one below the other to make sure that the decimals are also placed exactlyone below the other. This way, we will place the ones below the ones, the tenths below thetenths and so on.

Step 3

The decimal point in the answer will be placed as being placed in the addends.

Step 4

Let us add the numbers digit by digit starting f rom the hundredths and carry over if needed:

Thousands Hundreds Tens Ones . Tenth Hundredth

9 1 3 . 2 4

4 2 . 8 2

+ 0 . 3 6

9 5 6 . 4 2

Step 5

Hence, when we add the decimals 913.24, 42.82, and 0.36 we get 956.42

ID : in-5-Decimal-Operations-Worksheet [9]

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(12) 0.52

Step 1

Decimals with the same number of decimal places are called Like Decimals. The numbersgiven here are theref ore Like Decimals.

Step 2

In order to add the given Like Decimals, let us arrange the digits according to their placevalue, that is one below the other to make sure that the decimals are also placed exactlyone below the other. This way, we will place the ones below the ones, the tenths below thetenths and so on.

Step 3

The decimal point in the answer will be placed as being placed in the addends.

Step 4

Let us add the numbers digit by digit starting f rom the hundredths and carry over if needed:

Thousands Hundreds Tens Ones . Tenth Hundredth

5 4 4 . 5 8

2 8 . 3 2

+ 0 . 5 2

5 7 3 . 4 2

Step 5

Hence, when we add the decimals 544.58, 28.32, and 0.52 we get 573.42

ID : in-5-Decimal-Operations-Worksheet [10]

(C) 2016 Edugain (www.Edugain.com) Personal use only, commercial use is strictly prohibited

(13) 0.81

Step 1

Decimals with the same number of decimal places are called Like Decimals. The numbersgiven here are theref ore Like Decimals.

Step 2

In order to add the given Like Decimals, let us arrange the digits according to their placevalue, that is one below the other to make sure that the decimals are also placed exactlyone below the other. This way, we will place the ones below the ones, the tenths below thetenths and so on.

Step 3

The decimal point in the answer will be placed as being placed in the addends.

Step 4

Let us add the numbers digit by digit starting f rom the hundredths and carry over if needed:

Thousands Hundreds Tens Ones . Tenth Hundredth

9 4 6 . 6 6

6 9 . 6 3

+ 0 . 8 1

1 0 1 7 . 1 0

Step 5

Hence, when we add the decimals 946.66, 69.63, and 0.81 we get 1017.1

ID : in-5-Decimal-Operations-Worksheet [11]

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(14) 0.31

Step 1

Decimals with the same number of decimal places are called Like Decimals. The numbersgiven here are theref ore Like Decimals.

Step 2

In order to add the given Like Decimals, let us arrange the digits according to their placevalue, that is one below the other to make sure that the decimals are also placed exactlyone below the other. This way, we will place the ones below the ones, the tenths below thetenths and so on.

Step 3

The decimal point in the answer will be placed as being placed in the addends.

Step 4

Let us add the numbers digit by digit starting f rom the hundredths and carry over if needed:

Thousands Hundreds Tens Ones . Tenth Hundredth

5 3 8 . 4 7

1 0 . 5 3

+ 0 . 3 1

5 4 9 . 3 1

Step 5

Hence, when we add the decimals 538.47, 10.53, and 0.31 we get 549.31

ID : in-5-Decimal-Operations-Worksheet [12]

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(15) 41.28

Step 1

Decimals with the same number of decimal places are called Like Decimals. The numbersgiven here are theref ore Like Decimals.

Step 2

In order to add the given Like Decimals, let us arrange the digits according to their placevalue, that is one below the other to make sure that the decimals are also placed exactlyone below the other. This way, we will place the ones below the ones, the tenths below thetenths and so on.

Step 3

The decimal point in the answer will be placed as being placed in the addends.

Step 4

Let us add the numbers digit by digit starting f rom the hundredths and carry over if needed:

Thousands Hundreds Tens Ones . Tenth Hundredth

1 1 9 . 1 0

4 1 . 2 8

+ 0 . 6 5

1 6 1 . 0 3

Step 5

Hence, when we add the decimals 119.1, 41.28, and 0.65 we get 161.03

ID : in-5-Decimal-Operations-Worksheet [13]

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(16) 769.33

Step 1

Decimals with the same number of decimal places are called Like Decimals. The numbersgiven here are theref ore Like Decimals.

Step 2

In order to add the given Like Decimals, let us arrange the digits according to their placevalue, that is one below the other to make sure that the decimals are also placed exactlyone below the other. This way, we will place the ones below the ones, the tenths below thetenths and so on.

Step 3

The decimal point in the answer will be placed as being placed in the addends.

Step 4

Let us add the numbers digit by digit starting f rom the hundredths and carry over if needed:

Thousands Hundreds Tens Ones . Tenth Hundredth

7 6 9 . 3 3

2 9 . 9 5

+ 0 . 3 8

7 9 9 . 6 6

Step 5

Hence, when we add the decimals 769.33, 29.95, and 0.38 we get 799.66

ID : in-5-Decimal-Operations-Worksheet [14]

(C) 2016 Edugain (www.Edugain.com) Personal use only, commercial use is strictly prohibited

(17) 282.31

Step 1

Decimals with the same number of decimal places are called Like Decimals. The numbersgiven here are theref ore Like Decimals.

Step 2

In order to add the given Like Decimals, let us arrange the digits according to their placevalue, that is one below the other to make sure that the decimals are also placed exactlyone below the other. This way, we will place the ones below the ones, the tenths below thetenths and so on.

Step 3

The decimal point in the answer will be placed as being placed in the addends.

Step 4

Let us add the numbers digit by digit starting f rom the hundredths and carry over if needed:

Thousands Hundreds Tens Ones . Tenth Hundredth

2 8 2 . 3 1

1 . 7 6

+ 0 . 3 0

2 8 4 . 3 7

Step 5

Hence, when we add the decimals 282.31, 1.76, and 0.3 we get 284.37

ID : in-5-Decimal-Operations-Worksheet [15]

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(18) 252.57

Step 1

Decimals with the same number of decimal places are called Like Decimals. The numbersgiven here are theref ore Like Decimals.

Step 2

In order to add the given Like Decimals, let us arrange the digits according to their placevalue, that is one below the other to make sure that the decimals are also placed exactlyone below the other. This way, we will place the ones below the ones, the tenths below thetenths and so on.

Step 3

The decimal point in the answer will be placed as being placed in the addends.

Step 4

Let us add the numbers digit by digit starting f rom the hundredths and carry over if needed:

Thousands Hundreds Tens Ones . Tenth Hundredth

2 5 2 . 5 7

7 . 2 8

+ 0 . 2 9

2 6 0 . 1 4

Step 5

Hence, when we add the decimals 252.57, 7.28, and 0.29 we get 260.14

ID : in-5-Decimal-Operations-Worksheet [16]

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(19) 586.77

Step 1

Decimals with the same number of decimal places are called Like Decimals. The numbersgiven here are theref ore Like Decimals.

Step 2

In order to add the given Like Decimals, let us arrange the digits according to their placevalue, that is one below the other to make sure that the decimals are also placed exactlyone below the other. This way, we will place the ones below the ones, the tenths below thetenths and so on.

Step 3

The decimal point in the answer will be placed as being placed in the addends.

Step 4

Let us add the numbers digit by digit starting f rom the hundredths and carry over if needed:

Thousands Hundreds Tens Ones . Tenth Hundredth

5 3 7 . 2 8

4 9 . 1 7

+ 0 . 3 2

5 8 6 . 7 7

Step 5

Hence, when we add the decimals 537.28, 49.17, and 0.32 we get 586.77

ID : in-5-Decimal-Operations-Worksheet [17]

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(20) 0.54

Step 1

Decimals with the same number of decimal places are called Like Decimals. The numbersgiven here are theref ore Like Decimals.

Step 2

In order to add the given Like Decimals, let us arrange the digits according to their placevalue, that is one below the other to make sure that the decimals are also placed exactlyone below the other. This way, we will place the ones below the ones, the tenths below thetenths and so on.

Step 3

The decimal point in the answer will be placed as being placed in the addends.

Step 4

Let us add the numbers digit by digit starting f rom the hundredths and carry over if needed:

Thousands Hundreds Tens Ones . Tenth Hundredth

7 8 6 . 2 4

7 1 . 3 4

+ 0 . 5 4

8 5 8 . 1 2

Step 5

Hence, when we add the decimals 786.24, 71.34, and 0.54 we get 858.12

(21) A) 35.5

B) 563.43

C) 2.1934

D) 25.65

E) 131.43

F) 26.54

G) 547.46

H) 97.34

I) 50.74

ID : in-5-Decimal-Operations-Worksheet [18]

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ID : in-5-Decimal-Operations-Worksheet [19]

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(23) 8.2

Step 1

In order to multiply the two decimal numbers, let us f irst f ind out the posit ion of the decimalpoint in the f inal product.

Step 2

Let us f irst count the number of decimal places in both the multiplicands. The total numberof decimal places in the product will be the sum of the number of decimal places in both themultiplicands.

Step 3

In the number 8.2, there is 1 decimal place and in 6.25 there are 2 decimal places.Hence, there will be a total of 3 decimal places in the f inal product.

Step 4

Now, let us multiply the two numbers just like whole numbers, and in the f inal product placethe decimal point such that there are 3 decimal places (i.e. af ter 3 places f rom the right):

6 2 5

x 8 2

1 2 5 0

5 0 0 0 0

5 1 2 5 0

Step 5

Now put the decimal point af ter three places f rom right. Theref ore,6.25 × 8.2 = 51.250

ID : in-5-Decimal-Operations-Worksheet [20]

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(24) 8.3

Step 1

In order to multiply the two decimal numbers, let us f irst f ind out the posit ion of the decimalpoint in the f inal product.

Step 2

Let us f irst count the number of decimal places in both the multiplicands. The total numberof decimal places in the product will be the sum of the number of decimal places in both themultiplicands.

Step 3

In the number 8.3, there is 1 decimal place and in 2.90 there are 2 decimal places.Hence, there will be a total of 3 decimal places in the f inal product.

Step 4

Now, let us multiply the two numbers just like whole numbers, and in the f inal product placethe decimal point such that there are 3 decimal places (i.e. af ter 3 places f rom the right):

2 9 0

x 8 3

8 7 0

2 3 2 0 0

2 4 0 7 0

Step 5

Now put the decimal point af ter three places f rom right. Theref ore,2.90 × 8.3 = 24.070

ID : in-5-Decimal-Operations-Worksheet [21]

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(25) 10.0

Step 1

In order to multiply the two decimal numbers, let us f irst f ind out the posit ion of the decimalpoint in the f inal product.

Step 2

Let us f irst count the number of decimal places in both the multiplicands. The total numberof decimal places in the product will be the sum of the number of decimal places in both themultiplicands.

Step 3

In the number 10.0, there is 1 decimal place and in 1.26 there are 2 decimal places.Hence, there will be a total of 3 decimal places in the f inal product.

Step 4

Now, let us multiply the two numbers just like whole numbers, and in the f inal product placethe decimal point such that there are 3 decimal places (i.e. af ter 3 places f rom the right):

1 2 6

x 1 0 0

0 0 0

0 0 0 0

1 2 6 0 0

1 2 6 0 0

Step 5

Now put the decimal point af ter three places f rom right. Theref ore,1.26 × 10.0 = 12.600

ID : in-5-Decimal-Operations-Worksheet [22]

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(26) 1.44

Step 1

In order to multiply the two decimal numbers, let us f irst f ind out the posit ion of the decimalpoint in the f inal product.

Step 2

Let us f irst count the number of decimal places in both the multiplicands. The total numberof decimal places in the product will be the sum of the number of decimal places in both themultiplicands.

Step 3

In the number 3.2, there is 1 decimal place and in 1.44 there are 2 decimal places.Hence, there will be a total of 3 decimal places in the f inal product.

Step 4

Now, let us multiply the two numbers just like whole numbers, and in the f inal product placethe decimal point such that there are 3 decimal places (i.e. af ter 3 places f rom the right):

1 4 4

x 3 2

2 8 8

4 3 2 0

4 6 0 8

Step 5

Now put the decimal point af ter three places f rom right. Theref ore,1.44 × 3.2 = 4.608

ID : in-5-Decimal-Operations-Worksheet [23]

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(27) 46.878

Step 1

In order to multiply the two decimal numbers, let us f irst f ind out the posit ion of the decimalpoint in the f inal product.

Step 2

Let us f irst count the number of decimal places in both the multiplicands. The total numberof decimal places in the product will be the sum of the number of decimal places in both themultiplicands.

Step 3

In the number 7.8, there is 1 decimal place and in 6.01 there are 2 decimal places.Hence, there will be a total of 3 decimal places in the f inal product.

Step 4

Now, let us multiply the two numbers just like whole numbers, and in the f inal product placethe decimal point such that there are 3 decimal places (i.e. af ter 3 places f rom the right):

6 0 1

x 7 8

4 8 0 8

4 2 0 7 0

4 6 8 7 8

Step 5

Now put the decimal point af ter three places f rom right. Theref ore,6.01 × 7.8 = 46.878

ID : in-5-Decimal-Operations-Worksheet [24]

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(28) 81.771

Step 1

In order to multiply the two decimal numbers, let us f irst f ind out the posit ion of the decimalpoint in the f inal product.

Step 2

Let us f irst count the number of decimal places in both the multiplicands. The total numberof decimal places in the product will be the sum of the number of decimal places in both themultiplicands.

Step 3

In the number 9.7, there is 1 decimal place and in 8.43 there are 2 decimal places.Hence, there will be a total of 3 decimal places in the f inal product.

Step 4

Now, let us multiply the two numbers just like whole numbers, and in the f inal product placethe decimal point such that there are 3 decimal places (i.e. af ter 3 places f rom the right):

8 4 3

x 9 7

5 9 0 1

7 5 8 7 0

8 1 7 7 1

Step 5

Now put the decimal point af ter three places f rom right. Theref ore,8.43 × 9.7 = 81.771

ID : in-5-Decimal-Operations-Worksheet [25]

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(29) 8.19

Step 1

In order to multiply the two decimal numbers, let us f irst f ind out the posit ion of the decimalpoint in the f inal product.

Step 2

Let us f irst count the number of decimal places in both the multiplicands. The total numberof decimal places in the product will be the sum of the number of decimal places in both themultiplicands.

Step 3

In the number 6.1, there is 1 decimal place and in 8.19 there are 2 decimal places.Hence, there will be a total of 3 decimal places in the f inal product.

Step 4

Now, let us multiply the two numbers just like whole numbers, and in the f inal product placethe decimal point such that there are 3 decimal places (i.e. af ter 3 places f rom the right):

8 1 9

x 6 1

8 1 9

4 9 1 4 0

4 9 9 5 9

Step 5

Now put the decimal point af ter three places f rom right. Theref ore,8.19 × 6.1 = 49.959

ID : in-5-Decimal-Operations-Worksheet [26]

(C) 2016 Edugain (www.Edugain.com) Personal use only, commercial use is strictly prohibited

(30) 3.344

Step 1

In order to multiply the two decimal numbers, let us f irst f ind out the posit ion of the decimalpoint in the f inal product.

Step 2

Let us f irst count the number of decimal places in both the multiplicands. The total numberof decimal places in the product will be the sum of the number of decimal places in both themultiplicands.

Step 3

In the number 1.6, there is 1 decimal place and in 2.09 there are 2 decimal places.Hence, there will be a total of 3 decimal places in the f inal product.

Step 4

Now, let us multiply the two numbers just like whole numbers, and in the f inal product placethe decimal point such that there are 3 decimal places (i.e. af ter 3 places f rom the right):

2 0 9

x 1 6

1 2 5 4

2 0 9 0

3 3 4 4

Step 5

Now put the decimal point af ter three places f rom right. Theref ore,2.09 × 1.6 = 3.344

ID : in-5-Decimal-Operations-Worksheet [27]

(C) 2016 Edugain (www.Edugain.com) Personal use only, commercial use is strictly prohibited

(31) 2.070

Step 1

In order to multiply the two decimal numbers, let us f irst f ind out the posit ion of the decimalpoint in the f inal product.

Step 2

Let us f irst count the number of decimal places in both the multiplicands. The total numberof decimal places in the product will be the sum of the number of decimal places in both themultiplicands.

Step 3

In the number 1.8, there is 1 decimal place and in 1.15 there are 2 decimal places.Hence, there will be a total of 3 decimal places in the f inal product.

Step 4

Now, let us multiply the two numbers just like whole numbers, and in the f inal product placethe decimal point such that there are 3 decimal places (i.e. af ter 3 places f rom the right):

1 1 5

x 1 8

9 2 0

1 1 5 0

2 0 7 0

Step 5

Now put the decimal point af ter three places f rom right. Theref ore,1.15 × 1.8 = 2.070

ID : in-5-Decimal-Operations-Worksheet [28]

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(32) 63.5

Step 1

2.4

Step 2

In order to divide the given decimal numbers, let us f irst convert the divisor into a wholenumber by multiplying the dividend and the divisor by 10.

Step 3

We have:

152.4

63.5 =

152.4 × 10

63.5 × 10 =

1524.0

635

Step 4

Let us now divide 1524.0 by 635:

Dividend↴Divisor→ 635 ) 1 5 2 4 . 0 ( 2 ←Quotient

1 2 7 0

2 5 4 0

2 5 4 0

Remainder← 254

Step 5

Hence, on dividing 152.4 by 63.5, we get 2.4 .

ID : in-5-Decimal-Operations-Worksheet [29]

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(33) 39.5

Step 1

5.9

Step 2

In order to divide the given decimal numbers, let us f irst convert the divisor into a wholenumber by multiplying the dividend and the divisor by 10.

Step 3

We have:

233.05

39.5 =

233.05 × 10

39.5 × 10 =

2330.5

395

Step 4

Let us now divide 2330.5 by 395:

Dividend↴Divisor→ 395 ) 2 3 3 0 . 5 ( 5.9 ←Quotient

1 9 7 5

3 5 5 5

3 5 5 5

Remainder← 0

Step 5

Hence, on dividing 233.05 by 39.5, we get 5.9 .

ID : in-5-Decimal-Operations-Worksheet [30]

(C) 2016 Edugain (www.Edugain.com) Personal use only, commercial use is strictly prohibited

(34) 76.92

Step 1

1.2

Step 2

In order to divide the given decimal numbers, let us f irst convert the divisor into a wholenumber by multiplying the dividend and the divisor by 10.

Step 3

We have:

76.92

64.1 =

76.92 × 10

64.1 × 10 =

769.2

641

Step 4

Let us now divide 769.2 by 641:

Dividend↴Divisor→ 641 ) 7 6 9 . 2 ( 1.2 ←Quotient

6 4 1

1 2 8 2

1 2 8 2

Remainder← 0

Step 5

Hence, on dividing 76.92 by 64.1, we get 1.2.

ID : in-5-Decimal-Operations-Worksheet [31]

(C) 2016 Edugain (www.Edugain.com) Personal use only, commercial use is strictly prohibited

(35) 40.17

Step 1

1.3

Step 2

In order to divide the given decimal numbers, let us f irst convert the divisor into a wholenumber by multiplying the dividend and the divisor by 10.

Step 3

We have:

40.17

30.9 =

40.17 × 10

30.9 × 10 =

401.7

309

Step 4

Let us now divide 401.7 by 309:

Dividend↴Divisor→ 309 ) 4 0 1 . 7 ( 1.3 ←Quotient

3 0 9

9 2 7

9 2 7

Remainder← 0

Step 5

Hence, on dividing 40.17 by 30.9, we get 1.3.

ID : in-5-Decimal-Operations-Worksheet [32]

(C) 2016 Edugain (www.Edugain.com) Personal use only, commercial use is strictly prohibited

(36) 63.5

Step 1

1.6

Step 2

In order to divide the given decimal numbers, let us f irst convert the divisor into a wholenumber by multiplying the dividend and the divisor by 10.

Step 3

We have:

101.6

63.5 =

101.6 × 10

63.5 × 10 =

1016

635

Step 4

Let us now divide 1016 by 635:

Dividend↴Divisor→ 635 ) 1 0 1 6 ( 1 ←Quotient

6 3 5

Remainder← 381

Step 5

Hence, on dividing 101.6 by 63.5, we get 1.6 .

ID : in-5-Decimal-Operations-Worksheet [33]

(C) 2016 Edugain (www.Edugain.com) Personal use only, commercial use is strictly prohibited

(37) 56.5

Step 1

5

Step 2

In order to divide the given decimal numbers, let us f irst convert the divisor into a wholenumber by multiplying the dividend and the divisor by 10.

Step 3

We have:

56.5

11.3 =

56.5 × 10

11.3 × 10 =

565.0

113

Step 4

Let us now divide 565.0 by 113:

Dividend↴Divisor→ 113 ) 5 6 5 . 0 ( 5 ←Quotient

5 6 5

0

0

Remainder← 0

Step 5

Hence, on dividing 56.5 by 11.3, we get 5.

ID : in-5-Decimal-Operations-Worksheet [34]

(C) 2016 Edugain (www.Edugain.com) Personal use only, commercial use is strictly prohibited

(38) 205.92

Step 1

3.9

Step 2

In order to divide the given decimal numbers, let us f irst convert the divisor into a wholenumber by multiplying the dividend and the divisor by 10.

Step 3

We have:

205.92

52.8 =

205.92 × 10

52.8 × 10 =

2059.2

528

Step 4

Let us now divide 2059.2 by 528:

Dividend↴Divisor→ 528 ) 2 0 5 9 . 2 ( 3.9 ←Quotient

1 5 8 4

4 7 5 2

4 7 5 2

Remainder← 0

Step 5

Hence, on dividing 205.92 by 52.8, we get 3.9 .

ID : in-5-Decimal-Operations-Worksheet [35]

(C) 2016 Edugain (www.Edugain.com) Personal use only, commercial use is strictly prohibited

(39) 37.2

Step 1

2.7

Step 2

In order to divide the given decimal numbers, let us f irst convert the divisor into a wholenumber by multiplying the dividend and the divisor by 10.

Step 3

We have:

100.44

37.2 =

100.44 × 10

37.2 × 10 =

1004.4

372

Step 4

Let us now divide 1004.4 by 372:

Dividend↴Divisor→ 372 ) 1 0 0 4 . 4 ( 2.7 ←Quotient

7 4 4

2 6 0 4

2 6 0 4

Remainder← 0

Step 5

Hence, on dividing 100.44 by 37.2, we get 2.7 .

ID : in-5-Decimal-Operations-Worksheet [36]

(C) 2016 Edugain (www.Edugain.com) Personal use only, commercial use is strictly prohibited

(40) 3.5

Step 1

3.5

Step 2

In order to divide the given decimal numbers, let us f irst convert the divisor into a wholenumber by multiplying the dividend and the divisor by 10.

Step 3

We have:

142.8

40.8 =

142.8 × 10

40.8 × 10 =

1428

408

Step 4

Let us now divide 1428 by 408:

Dividend↴Divisor→ 408 ) 1 4 2 8 ( 3 ←Quotient

1 2 2 4

Remainder← 204

Step 5

Hence, on dividing 142.8 by 40.8, we get 3.5.

ID : in-5-Decimal-Operations-Worksheet [37]

(C) 2016 Edugain (www.Edugain.com) Personal use only, commercial use is strictly prohibited

(41) 3.5

Step 1

3.5

Step 2

In order to divide the given decimal numbers, let us f irst convert the divisor into a wholenumber by multiplying the dividend and the divisor by 10.

Step 3

We have:

89.25

25.5 =

89.25 × 10

25.5 × 10 =

892.5

255

Step 4

Let us now divide 892.5 by 255:

Dividend↴Divisor→ 255 ) 8 9 2 . 5 ( 3.5 ←Quotient

7 6 5

1 2 7 5

1 2 7 5

Remainder← 0

Step 5

Hence, on dividing 89.25 by 25.5, we get 3.5.

ID : in-5-Decimal-Operations-Worksheet [38]

(C) 2016 Edugain (www.Edugain.com) Personal use only, commercial use is strictly prohibited